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1 answer
398 views

What is the difference between 'Equation of motion' and 'Transport equation'?

I think this is a simple question with a not so easily explained answer. What is the difference between the Equation of motion and Transport eq? Is Navier stokes equation an 'Equation of motion' or a '...
GRANZER's user avatar
  • 649
4 votes
5 answers
2k views

Can energy conservation equation be seen as equation of motion?

After all, energy conservation equation is a differential equation that can be solved to find the motion, but this is never done. It is alway considered equation of motion only the time derivative of ...
user avatar
6 votes
4 answers
993 views

What is the difference between "field equations" and "equations of motion"?

I come across the terms "equations of motion" and "field equations" all the time, but what is the difference? For example, general relativity is described in terms of the Einstein ...
Superbee's user avatar
  • 671
2 votes
3 answers
281 views

Do the equations of motion have specific characteristics?

I solved a classical mechanics problem in a form somewhat like this: $$x(t)=t^2+5t$$ $$y(t)=t^3$$ $$z(t)=5.$$ The problem asked me to find the equations of motion of an object. From my ...
user7389351's user avatar
1 vote
2 answers
597 views

Why isn't the Time-Independent Schrödinger Equation an equation of motion?

I thought an equation of motion was something where you are given a Lagrangian and, using the Euler-Lagrange equation, you then find the equations of motion for that system. Same basic idea for the ...
Stan Shunpike's user avatar
0 votes
3 answers
339 views

Equation $H(q,p)=E$ is the equation of motion or energy-conservation law?

I do not completely understand, why do we consider Hamilton–Jacobi equation $H(q,p)=E$ as equation of motion, whereas it is looks like energy-conservation law?
Sergio's user avatar
  • 2,695